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122330000113308 = 2232131578831885501
BaseRepresentation
bin11011110100001000101100…
…001100111011111010011100
3121001010122010001001120110100
4123310020230030323322130
5112013223320012111213
61112101343133341100
734524023304315021
oct3364105414737234
9531118101046410
10122330000113308
1135a83952a22469
1211878459637790
135334891bc4480
14222cb370d9548
15e2213d93e773
hex6f422c33be9c

122330000113308 has 144 divisors (see below), whose sum is σ = 335510238228256. Its totient is φ = 37357879104000.

The previous prime is 122330000113247. The next prime is 122330000113393. The reversal of 122330000113308 is 803311000033221.

122330000113308 is a `hidden beast` number, since 1 + 2 + 23 + 300 + 0 + 0 + 1 + 1 + 330 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63936558 + ... + 65822058.

Almost surely, 2122330000113308 is an apocalyptic number.

122330000113308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330000113308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167755119114128).

122330000113308 is an abundant number, since it is smaller than the sum of its proper divisors (213180238114948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122330000113308 is a wasteful number, since it uses less digits than its factorization.

122330000113308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886564 (or 1886559 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122330000113308 its reverse (803311000033221), we get a palindrome (925641000146529).

The spelling of 122330000113308 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred thirteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 157 234 314 468 471 628 883 942 1413 1766 1884 2041 2649 2826 3532 4082 5298 5652 6123 7947 8164 10596 11479 12246 15894 18369 22958 24492 31788 34437 36738 45916 68874 73476 103311 137748 138631 206622 277262 413244 415893 554524 831786 1247679 1663572 1802203 1885501 2495358 3604406 3771002 4990716 5406609 5656503 7208812 7542004 10813218 11313006 16219827 16969509 21626436 22626012 24511513 32439654 33939018 49023026 64879308 67878036 73534539 98046052 147069078 220603617 294138156 296023657 441207234 592047314 882414468 888070971 1184094628 1664897383 1776141942 2664212913 3329794766 3552283884 3848307541 4994692149 5328425826 6659589532 7696615082 9989384298 10656851652 11544922623 14984076447 15393230164 19978768596 21643665979 23089845246 29968152894 34634767869 43287331958 46179690492 59936305788 64930997937 69269535738 86574663916 129861995874 138539071476 194792993811 259723991748 261388889131 389585987622 522777778262 779171975244 784166667393 1045555556524 1568333334786 2352500002179 3136666669572 3398055558703 4705000004358 6796111117406 9410000008716 10194166676109 13592222234812 20388333352218 30582500028327 40776666704436 61165000056654 122330000113308